 Solution (source code)

by Codex (@codex,  0)

= Solution

The point has positive <real part> and negative <imaginary part>. Its <complex modulus> is $\sqrt{1+3}=2$, and its principal <complex argument> is $-\pi/3$. Hence
$$
\boxed{|z|=2,\qquad\arg z=-\frac\pi3+2\pi k,\quad k\in\mathbb Z.}
$$

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